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1032322331133 = 32769149157973
BaseRepresentation
bin11110000010110110011…
…01001011000111111101
310122200121022120222021100
433001123031023013331
5113403144004044013
62110124202123313
7134403624014412
oct17013315130775
93580538528240
101032322331133
11368895052755
121480a27b0539
1376469824272
1437d71094109
151bcbe1c3473
hexf05b34b1fd

1032322331133 has 12 divisors (see below), whose sum is σ = 1493071319740. Its totient is φ = 687319934976.

The previous prime is 1032322331107. The next prime is 1032322331141. The reversal of 1032322331133 is 3311332232301.

1032322331133 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 322 + 331 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 378523949049 + 653798382084 = 615243^2 + 808578^2 .

It is a de Polignac number, because none of the positive numbers 2k-1032322331133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1032322331097 and 1032322331106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032322331233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74572066 + ... + 74585907.

Almost surely, 21032322331133 is an apocalyptic number.

It is an amenable number.

1032322331133 is a deficient number, since it is larger than the sum of its proper divisors (460748988607).

1032322331133 is a wasteful number, since it uses less digits than its factorization.

1032322331133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149158748 (or 149158745 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1032322331133 its reverse (3311332232301), we get a palindrome (4343654563434).

The spelling of 1032322331133 in words is "one trillion, thirty-two billion, three hundred twenty-two million, three hundred thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 769 2307 6921 149157973 447473919 1342421757 114702481237 344107443711 1032322331133